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Show that the relation S in set A={x in ...

Show that the relation S in set `A={x in Z : 0 le x le 12}` given by `S={(a, b):a, b in A, |a-b|` is divisible by 4} is an equivalence relation. Find the set of all elements related to 1.

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The correct Answer is:
{1, 5, 9}
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